2008 nissan rouge remote start problems

Definitly sounds like a immobilizer bypass problem.  Start with the basics.  Did you verify the XK07 has the correct PKN3 firmware?  Did you connect all the wires to their proper locations?  (Ensure you have a good ground connection.  Ensure you have IGN and not ACC going to the XK07 orange wire.  Diode isolate the GWR input if it is shared.)  Did the XK07 program as per the instructions?  Did you try doing the reset on the XK07 and re-programming?

After you get the R/S working the Alarm Dis-Arm in a blue wire in the driver kick panel, in a harness that runs out the frame to the door.  It's a negative pulse that you might only see when you turn the key to unlock in the drivers door.

Good luck!